What is the derivative of the work function?

2d3vljtq

2d3vljtq

Answered question

2022-07-05

What is the derivative of the work function?

Answer & Explanation

behk0

behk0

Beginner2022-07-06Added 14 answers

It depends with respect to what physical quantity you're differentiating.
If you consider the derivative with respect to time, it is the power, by definition:
P = d W d t
If you consider the derivative of the work with respect to position, we have the following result, using the Fundamental Theorem of Calculus:
d W d x = d d x a x F ( x ) d x = F ( x )
Which is the force.
This last result can be generalized to higher dimensions, as long as the force is conservative.

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